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42287476 = 22711251547
BaseRepresentation
bin1010000101010…
…0000101110100
32221120102111211
42201110011310
541311144401
64110211204
71022303050
oct241240564
987512454
1042287476
1121963230
12121b3b04
1389b7a9a
14588ac60
153aa4951
hex2854174

42287476 has 48 divisors (see below), whose sum is σ = 92800512. Its totient is φ = 16380000.

The previous prime is 42287473. The next prime is 42287477. The reversal of 42287476 is 67478224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42287471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77035 + ... + 77581.

It is an arithmetic number, because the mean of its divisors is an integer number (1933344).

Almost surely, 242287476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42287476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400256).

42287476 is an abundant number, since it is smaller than the sum of its proper divisors (50513036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42287476 is a wasteful number, since it uses less digits than its factorization.

42287476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 42287476 is about 6502.8821302558. The cubic root of 42287476 is about 348.3939366841.

The spelling of 42287476 in words is "forty-two million, two hundred eighty-seven thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 251 308 502 547 1004 1094 1757 2188 2761 3514 3829 5522 6017 7028 7658 11044 12034 15316 19327 24068 38654 42119 77308 84238 137297 168476 274594 549188 961079 1510267 1922158 3020534 3844316 6041068 10571869 21143738 42287476